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Special Quadrilaterals
1) A quadrilateral whose diagonals bisect each
other and are perpendicular is a
1) Rhombus
3) Trapezoid
2) Rectangle
4) parallelogram
2) Isosceles trapezoid ABCD has diagonals
and
. If
and
, what is the
value of x?
4) In the diagram below of trapezoid RSUT,
, X is the midpoint of
midpoint of
.
, and V is the
2) In a certain quadrilateral, two opposite sides are
parallel, and the other two opposite sides are not
congruent. This quadrilateral could be a
1) rhombus
2) parallelogram
3) square
4) trapezoid
3) In isosceles trapezoid ABCD,
. If
,
, and
, what is the length
of the altitude of the trapezoid?
5) The vertices of
are
and
Which conclusion can be made about the
angles of
?
1)
3)
2)
4)
6) Triangle ABC has coordinates
,
, and
. Find the perimeter of the triangle. Express
your answer in simplest radical form. [The use of the
grid below is optional.]
7) Given:
,
,
Prove:
is an isosceles right triangle.
[The use of the grid is optional.]
5) Given: JKLM is a parallelogram.
Prove: JKLM is a rhombus.
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